题干

已知点A(1,2)、点 B在双曲线y=
k
x
(x>0)上,过B作BC⊥x轴于点C,如图,P是y轴上一点,
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同类题1

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采春

乔忠延

    ①冬季日短夜长。农人说,十月里天碗里转,好婆姨做不熟三顿饭。是呀,刚刚日头还在当顶,扫了扫院子,喂了喂鸡,出溜一下便滑到西山梁上去了。白日真短,短得匆匆忙忙,慌慌张张,气气喘喘。城里人也不例外,上个班两头不见太阳。早晨起床屋里黑,晚上下班外头黑,回到家里倒是亮堂,可那不是阳光,却是灯光,忙忙碌碌一天就这么过去了。

    ②日子这么紧紧张张,应该过得快吧?没有,丝毫也没有。非但没有觉得冬日短暂,一个个都感到缓慢,要不为啥总见书卷报端出现漫长的冬季呢!冬季的漫长是人们感觉出来的,不,是人们煎熬出来的。日光淡淡的,没有一点温色,寒气就像草原上的群狼到处肆虐。伸出手,手冻得疼。走几步路,脚冻得疼。手脚冻木了,不疼了,鼻尖却辣辣地疼。疼得眼睛直想流泪,却强忍着不敢流,怕流出来把冰碴子挂在脸上。这日子还能说是过吗?不,是在熬,在煎熬。一煎熬日子就长,唉,好漫长,好漫长的冬天呀!

    ③好不容易熬到立春了,可春天只在日历上露脸,天地间还是冬天的鬼样子。寒寒的,秃秃的,没有一点生机。就盼惊蛰,一天一天盼,盼来了惊蛰,似乎也没啥改观。寒还在寒,秃还在秃,要摧毁冬日根深蒂固的营盘不那么容易。没有耐心,没有韧劲,还真不行,那就打消脾气,耐下性子,慢慢熬吧!

    ④忽一日,地皮软了。踏上去不再像往日那样硬邦邦,倒似是踩在了海绵上,软软的,柔柔的。抬起头,高高的杨树梢垂挂起絮穗穗,萧疏的柳树条奓开了黄翅翅。哈呀,河边沿,垄堰根,一色的绿气正在蔓延。真让人摸不着头脑,春天却悄无声息地来了。

    ⑤好啊,春来了!

    ⑥春来了,哪里还能在屋里憋得住?憋屈了一冬天的肢体早该展放了,憋闷了一冬天的浊气早该释放了。街市上不行,挤窄;村巷里不行,弯折。只有阔野,只有山梁,才是展放肢体、释放浊气的理想地方。二月二,龙抬头。人们出了城,出了村,原野里、山梁上到处是人。小路上是人的溪流,大路上是人的河流,平地上是人的海洋,山巅上是人的峰峦。随便拦住一个打问,这是干什么?回答简练干脆:采春。

    ⑦采春!

    ⑧采春?怎么个采法?采法不复杂。满地是春气,走一走浑身是春情;小溪流春水,洗一洗满脸是春意;山壑荡春风,爬一爬萦怀是春温。更别说,枯树丛里的松树叶柏树叶早变绿了,绿得像是点缀的翡翠;更别说,崖壁岩角的连翘花山桃花早已开了,粉嘟嘟的像是仙女的笑靥。有人手痒了,折一节松枝带回去,往花瓶里一插,满屋子清香,春天的气息驱走了冬日的萎靡。有人心痒了,掐一朵粉桃花簪在乌黑的头发上,走到哪儿,都是笑笑的,笑开了一个人见人爱的春温时令。采春,采出的是欢乐,采出的是笑颜!

    ⑨还有人比他们更贪婪,见到春色手也痒,心也痒。手痒没动手,心痒大动心,把那春意、春情、春光,甚而春枝春叶、春蕾春花,装满一肚子,塞满一脑子。回到家里放不下,躺在床上推不开,睡在梦里仍是春水流淌,春鸟啼鸣,春条喷绿,春花怒放……梦醒了,人未醒,反而醉得迷迷离离,痴痴幻幻。迷离中展开纸,痴幻中拿起笔,于是,世人看见:“绿柳才黄半未匀”,那是杨巨源采回来的春天;“二月初惊见草芽”,那是韩愈采回来的春天;“昨日春如十三女儿学绣,一枝枝不教花瘦”,那是辛弃疾采回来的春天;“离离原上草,一岁一枯荣。野火烧不尽,春风吹又生”,那是白居易采回来的春天。

    ⑩凡人采回的青枝绿叶,香着香着淡了,散了;凡人采回的蓓蕾花朵,开着开着败了,干了。而诗人采回的春天,却永恒地绿着,香着。白居易的春草,从唐朝绿满书卷,绿到了今天;辛弃疾的春花,从宋代香满庭堂,香到了今天。

(选自《散文百家》2016年第6期,有改动)

同类题2

完形填空

    I still remember an old lady, a customer on the paper route in my hometown when I was 12 years old. She taught me a lesson in1that I shall never forget.

On a(n)2afternoon, a friend and I were throwing stones onto the 3of the old lady's house. The stone that I found was too smooth,4it slipped from my hand as I let it go and5straight not for the covering on top of the house but for a small window on the house's back porch. At the sound of broken glass, we knew we were6.We turned and7.

    I was too 8 about getting caught that first night to be concerned about the old lady with the broken window in the freezing weather. However, a few days later, when I was sure that I hadn't been9, I started to feel guilty about her10.She still greeted me with a smile each day11I gave her the paper , but I was no longer able to act comfortably in her 12.

    I13my mind that I would save my paper delivering money , and in three weeks I had the seven dollars that I calculated would pay for her window . I put the money in an envelope with a note14that I was sorry for breaking her window and15that the seven dollars would cover the cost of repairing it.

    I waited until it was dark , moved16to the old lady ' s house and put the letter I didn ' t sign through the letter slot in her door . I felt 17 and could have the freedom of , once again , looking straight into the old lady's kind eyes .

    The next day, I handed the old lady her paper and was able to 18 the warm smile that I was receiving from her. She thanked me for the paper and gave me a bag of cookies she had made herself. I thanked her and proceeded(开始) to eat the cookies as I continued my19.

After several cookies . I felt an envelope and pulled it out of the bag. When I opened the envelope , I was 20. Inside were the seven dollars and a short note that said , " I'm proud of you.”